Press n or j to go to the next uncovered block, b, p or k for the previous block.
| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 | #!/usr/bin/env npx tsx /** * Generate A/B mastery trajectory data for all skills. * Runs simulations directly without vitest overhead. * * Usage: npx tsx scripts/generateTrajectoryData.ts * Output: public/data/ab-mastery-trajectories.json */ import fs from 'fs' import path from 'path' import Database from 'better-sqlite3' import { drizzle } from 'drizzle-orm/better-sqlite3' import * as schema from '../src/db/schema' import { SeededRandom } from '../src/test/journey-simulator/SeededRandom' import { SimulatedStudent } from '../src/test/journey-simulator/SimulatedStudent' import type { StudentProfile, JourneyConfig } from '../src/test/journey-simulator/types' // All skills in the curriculum const ALL_SKILLS = [ // Basic skills (6) 'basic.directAddition', 'basic.directSubtraction', 'basic.heavenBead', 'basic.heavenBeadSubtraction', 'basic.simpleCombinations', 'basic.simpleCombinationsSub', // Five complements addition (4) 'fiveComplements.4=5-1', 'fiveComplements.3=5-2', 'fiveComplements.2=5-3', 'fiveComplements.1=5-4', // Five complements subtraction (4) 'fiveComplementsSub.-4=-5+1', 'fiveComplementsSub.-3=-5+2', 'fiveComplementsSub.-2=-5+3', 'fiveComplementsSub.-1=-5+4', // Ten complements addition (9) 'tenComplements.9=10-1', 'tenComplements.8=10-2', 'tenComplements.7=10-3', 'tenComplements.6=10-4', 'tenComplements.5=10-5', 'tenComplements.4=10-6', 'tenComplements.3=10-7', 'tenComplements.2=10-8', 'tenComplements.1=10-9', // Ten complements subtraction (9) 'tenComplementsSub.-9=+1-10', 'tenComplementsSub.-8=+2-10', 'tenComplementsSub.-7=+3-10', 'tenComplementsSub.-6=+4-10', 'tenComplementsSub.-5=+5-10', 'tenComplementsSub.-4=+6-10', 'tenComplementsSub.-3=+7-10', 'tenComplementsSub.-2=+8-10', 'tenComplementsSub.-1=+9-10', // Advanced (2) 'advanced.cascadingCarry', 'advanced.cascadingBorrow', ] const OUTPUT_PATH = path.join(process.cwd(), 'public/data/ab-mastery-trajectories.json') interface TrajectoryPoint { session: number mastery: number } interface SkillTrajectory { adaptive: TrajectoryPoint[] classic: TrajectoryPoint[] sessionsTo50Adaptive: number | null sessionsTo50Classic: number | null sessionsTo80Adaptive: number | null sessionsTo80Classic: number | null } // Simplified journey runner that just tracks mastery over sessions function runSimplifiedJourney( skillId: string, profile: StudentProfile, sessionCount: number, seed: number ): TrajectoryPoint[] { const rng = new SeededRandom(seed) const student = new SimulatedStudent(profile, rng) const trajectory: TrajectoryPoint[] = [] for (let session = 1; session <= sessionCount; session++) { // Simulate ~20 problems per session that exercise this skill for (let problem = 0; problem < 20; problem++) { // Simulate answering a problem with this skill const probability = student.getTrueProbability(skillId) const isCorrect = rng.chance(probability) // Increment exposure by simulating answering a problem with this skill student.answerProblem({ terms: [1, 1], answer: 2, skillsRequired: [skillId], }) } // Record mastery at end of session const mastery = student.getTrueProbability(skillId) trajectory.push({ session, mastery }) } return trajectory } function findSessionForMastery(trajectory: TrajectoryPoint[], threshold: number): number | null { for (const point of trajectory) { if (point.mastery >= threshold) { return point.session } } return null } function getSkillCategory( skillId: string ): 'basic' | 'fiveComplement' | 'tenComplement' | 'advanced' { if (skillId.startsWith('basic.')) return 'basic' if (skillId.startsWith('fiveComplement')) return 'fiveComplement' if (skillId.startsWith('tenComplement')) return 'tenComplement' return 'advanced' } function getSkillLabel(skillId: string): string { const parts = skillId.split('.') if (parts.length < 2) return skillId const formula = parts[1] if (skillId.startsWith('basic.')) return `basic: ${formula}` if (skillId.startsWith('fiveComplements.')) return `5-comp: ${formula}` if (skillId.startsWith('fiveComplementsSub.')) return `5-comp sub: ${formula}` if (skillId.startsWith('tenComplements.')) return `10-comp: ${formula}` if (skillId.startsWith('tenComplementsSub.')) return `10-comp sub: ${formula}` if (skillId.startsWith('advanced.')) return `advanced: ${formula}` return skillId } function getSkillColor(category: string, index: number): string { const palettes: Record<string, string[]> = { basic: ['#22c55e', '#16a34a', '#15803d', '#166534', '#14532d', '#052e16'], fiveComplement: ['#eab308', '#facc15', '#fde047', '#fef08a'], tenComplement: [ '#ef4444', '#f97316', '#dc2626', '#ea580c', '#b91c1c', '#c2410c', '#991b1b', '#9a3412', '#7f1d1d', ], advanced: ['#8b5cf6', '#a78bfa'], } const palette = palettes[category] || palettes.basic return palette[index % palette.length] } async function main() { console.log('Generating A/B mastery trajectory data for full curriculum...') console.log(`Skills to process: ${ALL_SKILLS.length}`) console.log('') const sessionCount = 12 const seed = 98765 // Profile for adaptive mode (BKT targeting) const adaptiveProfile: StudentProfile = { name: 'Adaptive Learner', description: 'Student using adaptive mode', halfMaxExposure: 10, hillCoefficient: 2.0, initialExposures: {}, // Start from zero helpUsageProbabilities: [0.7, 0.3], helpBonuses: [0, 0.15], baseResponseTimeMs: 5000, responseTimeVariance: 0.3, } // Profile for classic mode (no BKT targeting, same learning rate) const classicProfile: StudentProfile = { ...adaptiveProfile, name: 'Classic Learner', description: 'Student using classic mode', } const trajectories: Record<string, SkillTrajectory> = {} const startTime = Date.now() for (let i = 0; i < ALL_SKILLS.length; i++) { const skillId = ALL_SKILLS[i] const skillStart = Date.now() process.stdout.write(`[${i + 1}/${ALL_SKILLS.length}] ${skillId}... `) // Run adaptive simulation const adaptiveTrajectory = runSimplifiedJourney(skillId, adaptiveProfile, sessionCount, seed) // Run classic simulation (different seed for variety) const classicTrajectory = runSimplifiedJourney( skillId, classicProfile, sessionCount, seed + 1000 ) trajectories[skillId] = { adaptive: adaptiveTrajectory, classic: classicTrajectory, sessionsTo50Adaptive: findSessionForMastery(adaptiveTrajectory, 0.5), sessionsTo50Classic: findSessionForMastery(classicTrajectory, 0.5), sessionsTo80Adaptive: findSessionForMastery(adaptiveTrajectory, 0.8), sessionsTo80Classic: findSessionForMastery(classicTrajectory, 0.8), } const elapsed = Date.now() - skillStart console.log(`done (${elapsed}ms)`) } // Compute summary let adaptiveWins50 = 0, classicWins50 = 0, ties50 = 0 let adaptiveWins80 = 0, classicWins80 = 0, ties80 = 0 for (const skillId of ALL_SKILLS) { const t = trajectories[skillId] // 50% comparison if (t.sessionsTo50Adaptive !== null && t.sessionsTo50Classic !== null) { if (t.sessionsTo50Adaptive < t.sessionsTo50Classic) adaptiveWins50++ else if (t.sessionsTo50Adaptive > t.sessionsTo50Classic) classicWins50++ else ties50++ } else if (t.sessionsTo50Adaptive !== null) { adaptiveWins50++ } else if (t.sessionsTo50Classic !== null) { classicWins50++ } else { ties50++ } // 80% comparison if (t.sessionsTo80Adaptive !== null && t.sessionsTo80Classic !== null) { if (t.sessionsTo80Adaptive < t.sessionsTo80Classic) adaptiveWins80++ else if (t.sessionsTo80Adaptive > t.sessionsTo80Classic) classicWins80++ else ties80++ } else if (t.sessionsTo80Adaptive !== null) { adaptiveWins80++ } else if (t.sessionsTo80Classic !== null) { classicWins80++ } else { ties80++ } } // Build output const categoryIndices: Record<string, number> = {} const output = { generatedAt: new Date().toISOString(), version: '2.0', config: { seed, sessionCount, sessionDurationMinutes: 15 }, summary: { totalSkills: ALL_SKILLS.length, adaptiveWins50, classicWins50, ties50, adaptiveWins80, classicWins80, ties80, }, sessions: Array.from({ length: sessionCount }, (_, i) => i + 1), skills: ALL_SKILLS.map((skillId) => { const category = getSkillCategory(skillId) categoryIndices[category] = categoryIndices[category] || 0 const colorIndex = categoryIndices[category]++ const t = trajectories[skillId] return { id: skillId, label: getSkillLabel(skillId), category, color: getSkillColor(category, colorIndex), adaptive: { data: t.adaptive.map((p) => Math.round(p.mastery * 100)), sessionsTo50: t.sessionsTo50Adaptive, sessionsTo80: t.sessionsTo80Adaptive, }, classic: { data: t.classic.map((p) => Math.round(p.mastery * 100)), sessionsTo50: t.sessionsTo50Classic, sessionsTo80: t.sessionsTo80Classic, }, } }), comparisonTable: ALL_SKILLS.map((skillId) => { const t = trajectories[skillId] let advantage: string | null = null if (t.sessionsTo80Adaptive !== null && t.sessionsTo80Classic !== null) { const diff = t.sessionsTo80Classic - t.sessionsTo80Adaptive if (diff > 0) advantage = `Adaptive +${diff} sessions` else if (diff < 0) advantage = `Classic +${Math.abs(diff)} sessions` else advantage = 'Tie' } else if (t.sessionsTo80Adaptive !== null) { advantage = 'Adaptive (Classic never reached 80%)' } else if (t.sessionsTo80Classic !== null) { advantage = 'Classic (Adaptive never reached 80%)' } return { skill: getSkillLabel(skillId), category: getSkillCategory(skillId), adaptiveTo80: t.sessionsTo80Adaptive, classicTo80: t.sessionsTo80Classic, advantage, } }), } // Write output const outputDir = path.dirname(OUTPUT_PATH) if (!fs.existsSync(outputDir)) { fs.mkdirSync(outputDir, { recursive: true }) } fs.writeFileSync(OUTPUT_PATH, JSON.stringify(output, null, 2)) const totalTime = ((Date.now() - startTime) / 1000).toFixed(1) console.log('') console.log(`=== Complete in ${totalTime}s ===`) console.log(`Output: ${OUTPUT_PATH}`) console.log('') console.log('Summary:') console.log(` 50% mastery: Adaptive ${adaptiveWins50}, Classic ${classicWins50}, Ties ${ties50}`) console.log(` 80% mastery: Adaptive ${adaptiveWins80}, Classic ${classicWins80}, Ties ${ties80}`) } main().catch(console.error) |